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Two approaches to the study of cosmological density perturbations in modified theories of Palatini gravity have recently been discussed. These utilise, respectively, a generalisation of Birkhoff's theorem and a direct linearization of the…

广义相对论与量子宇宙学 · 物理学 2010-10-27 Kotub Uddin , James E Lidsey , Reza Tavakol

We construct a cosmological model from the inception of the Friedmann-Lem\^aitre-Robertson-Walker metric into the field equations of the f(R,L_m) gravity theory, with R being the Ricci scalar and L_m being the matter lagrangian density. The…

广义相对论与量子宇宙学 · 物理学 2024-03-21 B. S. Gonçalves , P. H. R. S. Moraes , B. Mishra

We investigate FLRW cosmology in the framework of symmetric teleparallel $f(Q)$ gravity with a nonminimal coupling between dark matter and the gravitational field. In the noncoincidence gauge, the field equations admit an equivalent…

广义相对论与量子宇宙学 · 物理学 2026-03-26 A. Abebe , P. S. Apostolopoulos , A. Giacomini , G. Leon , F. Moncada , A. Paliathanasis

We study canonical transformations of general relativity (GR) to provide a novel matter coupling to gravity. Although the transformed theory is equivalent to GR in vacuum, the equivalence no longer holds if a matter field minimally couples…

广义相对论与量子宇宙学 · 物理学 2020-03-10 Katsuki Aoki , Chunshan Lin , Shinji Mukohyama

The Gauss-Bonnet (GB) curvature invariant coupled to a scalar field $\phi$ can lead to an exit from a scaling matter-dominated epoch to a late-time accelerated expansion, which is attractive to alleviate the coincident problem of dark…

高能物理 - 理论 · 物理学 2010-10-27 Shinji Tsujikawa , M. Sami

We study gravitational theory in 1+2 spacetime dimensions which is determined by the Lagrangian constructed as a sum of the Einstein-Hilbert term plus the two (translational and rotational) gravitational Chern-Simons terms. When the…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Yuri N. Obukhov

There are so many ideas that potentially explain the dark energy phenomenon, current research is focusing on a more in-depth analysis of the potential effects of modified gravity on both local and cosmic scales. In this paper we have…

广义相对论与量子宇宙学 · 物理学 2025-11-24 S. H. Shekh , Hira Sohail , Irfan Mahmood , Allah Ditta , Anil Kumar Yadav

A covariant scheme for material coupling with $GL(N,R)$ gauge formulation of gravity is studied. We revisit a known idea of a Yang-Mills type construction, where quadratical power of cosmological constant have to be considered in…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Rolando Gaitan

We build a minimal extension of General Relativity in which Newton's gravitational coupling, $G$, the speed of light, $c$, and the cosmological constant, $\Lambda$, are spacetime variables. This is done while satisfying the contracted…

广义相对论与量子宇宙学 · 物理学 2017-04-27 Guilherme Franzmann

We propose a Lagrangian formulation for a varying $G$ Newtonian-like theory inspired by the Brans-Dicke gravity. Rather than imposing an {\it ad hoc} dependence for the gravitational coupling, as previously done in the literature, in our…

广义相对论与量子宇宙学 · 物理学 2021-01-20 Júlio C. Fabris , Tales Gomes , Júnior D. Toniato , Hermano Velten

The discovery of the accelerated expansion of the universe highlighted General Relativity's inability to naturally account for dark energy without invoking a finely tuned cosmological constant. In response, a wide range of alternative…

广义相对论与量子宇宙学 · 物理学 2025-11-11 P. A. G. Monteiro , C. J. A. P. Martins

We investigate $f\left( Q\right) $-gravity with a matter-gravity coupling as a geometric dark energy candidate for the description of the late-time cosmic acceleration within a spatially flat Friedmann--Lema\^{\i}tre-Robertson-Walker…

广义相对论与量子宇宙学 · 物理学 2026-03-24 Andronikos Paliathanasis

A modified f(G) gravity model with coupling between matter and geometry is proposed, which is described by the product of the Lagrange density of the matter and an arbitrary function of the Gauss-Bonnet term. The field equations and the…

宇宙学与河外天体物理 · 物理学 2015-06-04 Yue-Yue Zhao , Ya-Bo Wu , Jianbo Lu , Zhuo Zhang , Wei-Li Han , Liang-Liang Ling

In this work we study how nonminimally coupled theories of gravity modify the usual Friedmann equation, and develop two methods to treat these. The ambiguity in the form of the Lagrangian density of a perfect fluid is emphasized, and the…

广义相对论与量子宇宙学 · 物理学 2015-06-18 Orfeu Bertolami , Jorge Páramos

We start with the cosmic Friedmann equations, where we adopt a novel perspective rooted in a Lagrangian formulation grounded in Newtonian mechanics and the first law of thermodynamics. Our investigation operates under the assumption that…

广义相对论与量子宇宙学 · 物理学 2024-06-19 Jaume de Haro

A gauge-invariant, linear cosmological perturbation theory of an almost homogeneous and isotropic universe with dynamically evolving Newton constant G and cosmological constant $\Lambda$ is presented. The equations governing the evolution…

广义相对论与量子宇宙学 · 物理学 2011-04-22 Adriano Contillo

The field equations in $f(R)$ gravity derived from the Palatini variational principle and formulated in the Einstein conformal frame yield a cosmological term which varies with time. Moreover, they break the conservation of the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Nikodem J. Poplawski

We examine the dynamical behavior of matter coupled to gravity in the context of a linear Klein-Gordon equation coupled to a Friedman-Robertson-Walker metric. The resulting ordinary differential equations can be decoupled, the effect of…

广义相对论与量子宇宙学 · 物理学 2007-05-23 T. Christodoulakis , C. Helias , P. G. Kevrekidis , I. G. Kevrekidis , G. O. Papadopoulos

The standard model of cosmology is investigated using time dependent cosmological constant $\Lambda$ and Newton's gravitational constant $G$. The total energy content is described by the modified Chaplygin gas equation of state. It is found…

广义相对论与量子宇宙学 · 物理学 2009-03-12 Mubasher Jamil , Farook Rahaman , Mehedi Kalam

This paper explores models of the FLRW universe that incorporate a time-varying cosmological term $\Lambda(t)$. Specifically, we assume a power-law form for the cosmological term as a function of the scale factor: $\Lambda(t)=\Lambda_{0}…

宇宙学与河外天体物理 · 物理学 2024-05-14 M. Koussour , N. Myrzakulov , J. Rayimbaev